https://file.aiquickdraw.com/mathbot/file/1726589808113s5ew0hda.jpg

To find the slope of the line graphed, we need to apply the formula for the slope, which is:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

From the graph, we can identify two points that lie on the line:

1. The point \((3, -2)\)
2. The point \((0, 2)\)

Now, using these points in the slope formula:

\[
m = \frac{-2 - 2}{3 - 0} = \frac{-4}{3}
\]

So, the slope of the line is \( m = -\frac{4}{3} \).

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. How does the slope relate to the steepness of the line?
2. What is the y-intercept of this line based on the graph?
3. How would the slope change if the line were steeper?
4. Can the slope of a horizontal line be negative?
5. How would you calculate the slope if the line were curved?

**Tip:** Always choose clear points on the graph, preferably where the line crosses grid points, to minimize error when calculating the slope.

Find the slope of the line graphed below.

Learn how to find the slope of a line from a graph using two given points. This problem uses key concepts in coordinate geometry and the slope formula m = (y2 - y1) / (x2 - x1) to find the solution. Suitable for students in Grades 6-8.

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